The Statue of Justice is a large statue that overlooks Gotham Harbour and bears significant resemblance to The Statue of Liberty in New York City. The head of the statue is partially damaged by Two-Face when he locks his helicopter on course to collide with it in an attempt to kill Batman. The face of the statue is also depicted on both sides of Two-Face's Coin.
In Other Media
Batman: The Animated Series
The statue was where Batman first encountered the Society of Shadows during their quarrel with Count Vertigo over a sonic drill. The statue was subsequently damaged after a boat crashed into it during Gil Mason's attempted framing of Commissioner Gordon. He was, however, apprehended by Batgirl.
The Batman
The Statue of Justice gets defaced by Joker in "The Rubberface of Comedy".
Batman: Arkham Knight
The statue is the location of Azrael's final challenge to prove he's worthy of being Batman's successor. It's also the location of Deacon Blackfire's sacrifice ritual.